We discuss the influence of atom-atom correlations on the collective feedback of atoms trapped in an 1D optical lattice. Analytically deriving the dynamics of these correlations we consider a series of feedback steps and analyze the average energy change as a measure of the feedback efficiency. It is demonstrated that the correlations strongly affect the feedback process, so that wuthout destroying them the energy of the system can be effectively reduced. The situations when a correlation-destroying mechanism operates are discussed as well. A graph is presented. The average energy of the atoms as a function of the number of feedback steps. Different curves correspond to different time intervals between feedbacks.